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elixir [45]
3 years ago
5

Find the axis of symmetry of f(x)=2x^2-8x+10

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0
The correct answer is 0,10
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a candy necklace is extended from the top of a 10-foot ice cream cone to the ground. The necklace makes a 55 degree angle of the
Finger [1]

Answer:

The length of the necklace is 12.20 foot

Step-by-step explanation:

Given as :

The height of the ice cream cone to the ground = h = 10 foot

The angle make by the necklace of the ice cream cone = 55°

Let The length of the necklace = L foot

<u>Now, from figure </u>

Height = BC = h foot

The length of the necklace = L = AC

So, Sin angle = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

Or, Sin 55° = \dfrac{\textrm BC}{\textrm AC}

Or, 0.8191 = \dfrac{h}{L}

Or, 0.8191 = \dfrac{10 foot}{L}

Or, L = \dfrac{10 foot}{0.8191}

∴  L = 12.20 foot

So, The length of necklace = L = 12.20 foot

Hence The length of the necklace is 12.20 foot Answer

5 0
3 years ago
What is the value of x in the equation 3x - 4 (2x - 5) = 15
Zepler [3.9K]

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

3 0
3 years ago
Read 2 more answers
The coordinates of the vertices of A DEF are D(-4,1), E(3. – 1), and F(-1, – 4)
liq [111]

Answer:

ΔDEF is not a right triangle because no two sides are perpendicular.

Step-by-step explanation:

The coordinates of the vertices of ΔDEF are given to be D(-4,1), E(3,-1) and F(-1,-4).

Now length of DE is given by \sqrt{(-4-3)^{2}+(1-(-1))^{2}  } =\sqrt{53} units

length of EF is given by \sqrt{(3-(-1))^{2}+(-1-(-4))^{2}  }=\sqrt{25} units

and length of FD is given by \sqrt{(-4-(-1))^{2}+(1-(-4))^{2}  } =\sqrt{34} units.

Therefore, 53 ≠ 25+34

Hence, the length of the sides does not support the Pythagoras theorem.

So, ΔDEF is not a right triangle because no two sides are perpendicular. (Answer)

7 0
3 years ago
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
Finger [1]
GCF is what does each term have in common.
60 x^4y^7
45x^5y^5
75x^3y

15x^3y
6 0
3 years ago
Read 2 more answers
DUE TODAY!!! PLEASE HELP!!! Question 5 Multiple Choice Worth 4 points)
steposvetlana [31]

Answer:

-6

Step-by-step explanation:

-\sqrt{36} =-\sqrt{ 6^{2}}  =-6

5 0
3 years ago
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